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A273085
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Prime divisors of 68^112 - 1, listed with multiplicities.
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1
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3, 5, 5, 5, 23, 29, 37, 41, 67, 113, 113, 113, 197, 617, 881, 10193, 103867, 521497, 938071, 1106356357, 1546157677, 100343116693, 518914006417, 1145565031404704513, 135178919999357237393881, 620712448371732926474772025689944913040651041015217889164158638163856301549281
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OFFSET
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1,1
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COMMENTS
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(68^112-1)/113 is the only known Fermat quotient q_p(b) = (b^(p-1)-1)/p with 1 < b < p and q_p(b) divisible by p^2.
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LINKS
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EXAMPLE
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68^112 == 1 (mod 113^3), but 68^112 =/= 1 (mod 113^4), so 113 appears three times in the sequence.
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PROG
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(PARI) forprime(p=1, 68^112-1, my(k=1); while(Mod(68, p^k)^112==1, print1(p, ", "); k++))
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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STATUS
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approved
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